Summary of Significant Accounting Policies, Offering Costs (Details) - USD ($)	3 Months Ended	9 Months Ended
Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023
Offering Costs [Abstract]
Offering costs	$ 50,273	$ 50,411	$ 149,726	$ 149,589
Offering costs payable	$ 27,326		$ 27,326		$ 47,749

The expenses payable consist primarily of legal fees and other costs incurred with share offerings, the preparation of registration statement and registration fees.

No definition available.

Name:	star_OfferingCostsPayable
Namespace Prefix:	star_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant